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We investigate the classical active pure exploration problem in Markov Decision Processes, where the agent sequentially selects actions and, from the resulting system trajectory, aims at identifying the best policy as fast as possible. We…

机器学习 · 统计学 2021-10-26 Aymen Al Marjani , Aurélien Garivier , Alexandre Proutiere

We introduce a novel approach to hierarchical reinforcement learning for Linearly-solvable Markov Decision Processes (LMDPs) in the infinite-horizon average-reward setting. Unlike previous work, our approach allows learning low-level and…

机器学习 · 计算机科学 2024-07-10 Guillermo Infante , Anders Jonsson , Vicenç Gómez

General-purpose agents require fine-grained controls and rich sensory inputs to perform a wide range of tasks. However, this complexity often leads to intractable decision-making. Traditionally, agents are provided with task-specific action…

机器学习 · 计算机科学 2024-06-25 Rafael Rodriguez-Sanchez , George Konidaris

Abstraction of Markov Decision Processes is a useful tool for solving complex problems, as it can ignore unimportant aspects of an environment, simplifying the process of learning an optimal policy. In this paper, we propose a new algorithm…

机器学习 · 计算机科学 2021-04-20 Ondrej Biza , Robert Platt

Markov decision problems (MDPs) provide the foundations for a number of problems of interest to AI researchers studying automated planning and reinforcement learning. In this paper, we summarize results regarding the complexity of solving…

人工智能 · 计算机科学 2013-02-21 Michael L. Littman , Thomas L. Dean , Leslie Pack Kaelbling

Interval Markov Decision Processes (IMDPs) are finite-state uncertain Markov models, where the transition probabilities belong to intervals. Recently, there has been a surge of research on employing IMDPs as abstractions of stochastic…

系统与控制 · 电气工程与系统科学 2026-02-18 Giannis Delimpaltadakis , Morteza Lahijanian , Manuel Mazo , Luca Laurenti

We consider an auto-scaling technique in a cloud system where virtual machines hosted on a physical node are turned on and off depending on the queue's occupation (or thresholds), in order to minimise a global cost integrating both energy…

最优化与控制 · 数学 2021-07-26 Thomas Tournaire , Hind Castel-Taleb , Emmanuel Hyon

Markov decision processes (MDPs) are standard models for probabilistic systems with non-deterministic behaviours. Mean payoff (or long-run average reward) provides a mathematically elegant formalism to express performance related…

性能 · 计算机科学 2017-09-08 Jan Křetínský , Tobias Meggendorfer

The transition kernel of a continuous-state-action Markov decision process (MDP) admits a natural tensor structure. This paper proposes a tensor-inspired unsupervised learning method to identify meaningful low-dimensional state and action…

机器学习 · 统计学 2023-02-21 Chengzhuo Ni , Yaqi Duan , Munther Dahleh , Anru Zhang , Mengdi Wang

The importance of hierarchically structured representations for tractable planning has long been acknowledged. However, the questions of how people discover such abstractions and how to define a set of optimal abstractions remain open. This…

人工智能 · 计算机科学 2018-07-20 Sophia Sanborn , David D. Bourgin , Michael Chang , Thomas L. Griffiths

In many operations management problems, we need to make decisions sequentially to minimize the cost while satisfying certain constraints. One modeling approach to study such problems is constrained Markov decision process (CMDP). When…

最优化与控制 · 数学 2021-01-27 Yi Chen , Jing Dong , Zhaoran Wang

Efficient representations and solutions for large decision problems with continuous and discrete variables are among the most important challenges faced by the designers of automated decision support systems. In this paper, we describe a…

人工智能 · 计算机科学 2011-10-04 C. Guestrin , M. Hauskrecht , B. Kveton

This paper proposes an integration of temporal logical reasoning and Partially Observable Markov Decision Processes (POMDPs) to achieve interpretable decision-making under uncertainty with macro-actions. Our method leverages a fragment of…

人工智能 · 计算机科学 2025-05-07 Celeste Veronese , Daniele Meli , Alessandro Farinelli

Factored Markov decision processes (MDPs) are a prominent paradigm within the artificial intelligence community for modeling and solving large-scale MDPs whose rewards and dynamics decompose into smaller, loosely interacting components.…

最优化与控制 · 数学 2024-04-03 Huikang Liu , Wolfram Wiesemann , Man-Chung Yue

Markov Decision Processes (MDPs) have been used to formulate many decision-making problems in science and engineering. The objective is to synthesize the best decision (action selection) policies to maximize expected rewards (minimize…

最优化与控制 · 数学 2015-07-08 Mahmoud El Chamie , Behcet Acikmese

Integrated task and motion planning has emerged as a challenging problem in sequential decision making, where a robot needs to compute high-level strategy and low-level motion plans for solving complex tasks. While high-level strategies…

人工智能 · 计算机科学 2018-02-19 Siddharth Srivastava , Nishant Desai , Richard Freedman , Shlomo Zilberstein

In this paper we present a novel method for learning hierarchical representations of Markov decision processes. Our method works by partitioning the state space into subsets, and defines subtasks for performing transitions between the…

机器学习 · 计算机科学 2021-12-21 Lorenzo Steccanella , Simone Totaro , Anders Jonsson

We consider large-scale Markov decision processes (MDPs) with a risk measure of variability in cost, under the risk-aware MDPs paradigm. Previous studies showed that risk-aware MDPs, based on a minimax approach to handling risk, can be…

系统与控制 · 计算机科学 2017-05-17 Pengqian Yu , William B. Haskell , Huan Xu

We present a hierarchical reinforcement learning framework that formulates each task in the hierarchy as a special type of Markov decision process for which the Bellman equation is linear and has analytical solution. Problems of this type,…

人工智能 · 计算机科学 2016-03-11 Anders Jonsson , Vicenç Gómez

Markov Decision Processes (MDPs) are a mathematical framework for modeling sequential decision making under uncertainty. The classical approaches for solving MDPs are well known and have been widely studied, some of which rely on…

机器学习 · 计算机科学 2018-05-18 Joshua R. Bertram , Xuxi Yang , Peng Wei